Finding the Fourth Proportional to 180.50, 249.10 and 102.90
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Solution
The fourth proportional to 180.50, 249.10 and 102.90 is: 142.01
Step by Step Solution
- Step 1: Write the proportion equation
180.50 : 249.10 = 102.90 : x - Step 2: Convert to fraction form
180.50/249.10 = 102.90/x - Step 3: Cross multiply
180.50x = 249.10 × 102.90 - Step 4: Simplify right side
180.50x = 25,632.39 - Step 5: Solve for x
x = 25,632.39/180.50 - Step 6: Final answer
x = 142.01
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.